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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
450.4.a.g	$450$	$4$	450.a	1.a	$1$	$1$	$1$	$26.551$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(11\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+11q^{7}-8q^{8}-6^{2}q^{11}+\cdots\)
450.4.a.u	$450$	$4$	450.a	1.a	$1$	$2$	$2$	$26.551$	\(\Q(\sqrt{31}) \)	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+\beta q^{7}-8q^{8}-\beta q^{11}+\cdots\)

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